{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "6400f1ec-4946-4cde-8fdc-8067ed955a89",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "6ad52d70-d021-4d63-8a95-27fa2e1f6dc9",
   "metadata": {},
   "outputs": [],
   "source": [
    "pi=np.pi\n",
    "x=np.arange(-pi*2,pi*2,0.1)\n",
    "y=np.sin(x)\n",
    "z=np.cos(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "ac8931d9-f5d9-4ce3-ae2d-3855fc9d92eb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fac7aca8c90>]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, y)\n",
    "plt.plot(x,z)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "e1d914cf-b353-48f4-aaa6-a1f874404e20",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.141592653589793"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.pi"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "0c9e3dae-5bbd-4748-be56-a028bd94c08e",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
